Coarse-graining of some sort is a fundamental and unavoidable step in any attempt to derive the classical mechan- ical behavior from the quantum formalism. We utilize the two-mode Bose-Hubbard model to illustrate how ...Coarse-graining of some sort is a fundamental and unavoidable step in any attempt to derive the classical mechan- ical behavior from the quantum formalism. We utilize the two-mode Bose-Hubbard model to illustrate how different coarse-grained systems can be naturally associated with a fixed quantum system if it is compatible with different dy- namical algebras. Alternative coarse-grained systems generate different evolutions of the same physical quantities, and the difference becomes negligible only in the appropriate macro-limit.展开更多
基金Project supported by the Ministry of Education and Science of the Republic of Serbia(Grant Nos.171017,171028,171038,and III45016)We would like to acknowledge partial support by COST(Action MP1006)
文摘Coarse-graining of some sort is a fundamental and unavoidable step in any attempt to derive the classical mechan- ical behavior from the quantum formalism. We utilize the two-mode Bose-Hubbard model to illustrate how different coarse-grained systems can be naturally associated with a fixed quantum system if it is compatible with different dy- namical algebras. Alternative coarse-grained systems generate different evolutions of the same physical quantities, and the difference becomes negligible only in the appropriate macro-limit.
